Five-branes, Seven-branes and Five-dimensional E_n field theories

Abstract

We generalize the (p,q) 5-brane web construction of five-dimensional field theories by introducing (p,q) 7-branes, and apply this construction to theories with a one-dimensional Coulomb branch. The 7-branes render the exceptional global symmetry of these theories manifest. Additionally, 7-branes allow the construction of all E_n theories up to n=8, previously not possible in 5-brane configurations. The exceptional global symmetry in the field theory is a subalgebra of an affine symmetry on the 7-branes, which is necessary for the existence of the system. We explicitly determine the quantum numbers of the BPS states of all E_n theories using two simple geometrical constraints.

28 pages, LaTeX, 8 figures

References in corpus (5)

• Webs of (p,q) 5-branes, Five Dimensional Field Theories and Grid Diagrams
• Open string - string junction transitions
• On the M-Theory Approach to (Compactified) 5D Field Theories
• Affine Lie Algebras, String Junctions and 7-Branes
• Uncovering the Symmetries on [p,q] 7-branes: Beyond the Kodaira Classification

Cited by in corpus (95)

• Moduli Stabilization from Fluxes in a Simple IIB Orientifold
• Webs of five-branes and N=2 superconformal field theories
• Duality Twists, Orbifolds, and Fluxes
• 5-dim Superconformal Index with Enhanced En Global Symmetry
• Precision Counting of Small Black Holes
• Warped $Ad{S}_6\times S^2$ in Type IIB supergravity I: Local solutions
• 5d quivers and their AdS(6) duals
• AdS_6 solutions of type II supergravity
• Warped $Ad{S}_6\times S^2$ in Type IIB supergravity II: Global solutions and five-brane webs
• Fibers add Flavor, Part I: Classification of 5d SCFTs, Flavor Symmetries and BPS States
• Non-Lagrangian Theories from Brane Junctions
• 5d and 4d SCFTs: Canonical Singularities, Trinions and S-Dualities
• Instanton operators and symmetry enhancement in 5d supersymmetric gauge theories
• Five-dimensional SCFTs and gauge theory phases: an M-theory/type IIA perspective
• Fibers add Flavor, Part II: 5d SCFTs, Gauge Theories, and Dualities
• More on 5d descriptions of 6d SCFTs
• Instanton operators and symmetry enhancement in 5d supersymmetric quiver gauge theories
• Tropical Geometry and Five Dimensional Higgs Branches at Infinite Coupling
• 3d Coulomb branch and 5d Higgs branch at infinite coupling
• A new 5d description of 6d D-type minimal conformal matter
• Fiber-Base Duality and Global Symmetry Enhancement
• Trifectas for $T_N$ in 5d
• Quiver Subtractions
• Instanton Operators and the Higgs Branch at Infinite Coupling
• Quiver Theories from D6-branes via Mirror Symmetry
• Phases of 5d SCFTs from M-/F-theory on Non-Flat Fibrations
• 6d SCFTs, 5d Dualities and Tao Web Diagrams
• Warped $Ad{S}_6\times S^2$ in Type IIB supergravity III: Global solutions with seven-branes
• New $Ad{S}_3\times S^2$ T-duals with $\mathcal{N}=(0,4)$ supersymmetry
• Exact results for 5d SCFTs of long quiver type
• Tao Probing the End of the World
• (5d RG-flow) Trees in the Tropical Rain Forest
• Classification of 5d N=1 gauge theories
• 5d/6d DE instantons from trivalent gluing of web diagrams
• Magnetic Quivers from Brane Webs with O5 Planes
• Testing $Ad{S}_6/CF{T}_5$ in Type IIB with stringy operators
• Entanglement entropy vs. free energy in IIB supergravity duals for 5d SCFTs
• Brane webs, $5d$ gauge theories and $6d$ $\mathcal{N}$$=(1,0)$ SCFT's
• Mass-deformed $T_N$ as a linear quiver
• Janus solutions in six-dimensional gauged supergravity
• 4d $\mathcal{N}=2$ S-folds
• Local models for intersecting brane worlds
• Brane Webs and Magnetic Quivers for SQCD
• Gauged Six-Dimensional Supergravity from Warped IIB Reductions
• Rank-two 5d SCFTs from M-theory at isolated toric singularities: a systematic study
• 5D and 6D SCFTs from ${\mathbb{C}}^3$ orbifolds
• Flavor Symmetry of 5d SCFTs, Part 2: Applications
• Rank-3 antisymmetric matter on 5-brane webs
• Surface defects in the D4 $-$ D8 brane system
• Exact partition functions of Higgsed 5d $T_N$ theories
• Connecting 5d Higgs Branches via Fayet-Iliopoulos Deformations
• 5d $E_n$ Seiberg-Witten curve via toric-like diagram
• Evidence for a Non-Supersymmetric 5d CFT from Deformations of 5d $SU(2)$ SYM
• $Ad{S}_6$ T-duals and Type IIB $Ad{S}_6\times S^2$ Geometries with 7-Branes
• Complete prepotential for 5d $\mathcal{N}=1$ superconformal field theories
• Five-brane webs, Higgs branches and unitary/orthosymplectic magnetic quivers
• Wilson loops in 5d long quiver gauge theories
• Flavor Symmetry of 5d SCFTs, Part 1: General Setup
• One Loop to Rule Them All: Eight and Nine Dimensional String Vacua from Junctions
• Type IIB 7-branes in warped $Ad{S}_6$: partition functions, brane webs and probe limit
• Discrete theta angle from an O5-plane
• Black hole microstate counting in Type IIB from 5d SCFTs
• 6d $\mathcal{N}=(1,0)$ theories on $S^1/T^2$ and class S theories: part II
• Balanced B and D-type orthosymplectic quivers -- Magnetic quivers for product theories
• Mass deformations of 5d SCFTs via holography
• Hidden Exceptional Global Symmetries in 4d CFTs
• Higgs Branches of U/SU Quivers via Brane Locking
• Affine 7-brane Backgrounds and Five-Dimensional $E_N$ Theories on $S^1$
• Surface defects in holographic 5d SCFTs
• Duality Between String Junctions and D-Branes on Del Pezzo Surfaces
• 4d F(4) gauged supergravity and black holes of class $\mathcal{F}$
• AdS${}_6$/CFT${}_5$ with O7-planes
• Supersymmetry breaking deformations and phase transitions in five dimensions
• A $\mathcal{N}=2$ Supersymmetric $Ad{S}_4$ Solution in M-theory with Purely Magnetic Flux
• Evidence for a 5d F-theorem
• Higgsing and Twisting of 6d $D_N$ gauge theories
• Higgs Branches of rank-0 5d theories from M-theory on $(A_j,A_l)$ and $(A_k,D_n)$ singularities
• Exploring the orthosymplectic zoo
• M-theory curves from warped AdS${}_6$ in Type IIB
• Partition functions of web diagrams with an O7${}^{-}$-plane
• Dilatonic states near holographic phase transitions
• On minimal Type IIB $Ad{S}_6$ solutions with commuting 7-branes
• On Seven-Brane and Instanton Solutions of Type IIB
• On non-supersymmetric fixed points in five dimensions
• 6d/5d exceptional gauge theories from web diagrams
• Fibre-base duality of 5d KK theories
• S-foldings of 5d SCFTs
• Generalized Toric Polygons, T-branes, and 5d SCFTs
• Supersymmetry Algebra in Super Yang-Mills Theories
• The $U$-plane of rank-one 4d $\mathcal{N}=2$ KK theories
• Exotic Brane Junctions from F-theory
• Quantum Deconstruction of 5D SQCD
• On the planar limit of 3d $T_{\rho }^{\sigma }[SU(N)]$
• ${\text{AdS}}_3$ vacua and surface defects in massive IIA
• Non-supersymmetric AdS${}_6$ and the swampland